
'''simple docstring'''
from random import randint
from tempfile import TemporaryFile

import numpy as np







def 		A_(     A						:		Optional[int]		,     A						:		List[Any]		,     A						:		List[str]):
							UpperCamelCase   			=     0
							if start < end:
														UpperCamelCase   			=     randint(a__		,     a__)
														UpperCamelCase   			=     a[end]
														UpperCamelCase   			=     a[pivot]
														UpperCamelCase   			=     temp

														UpperCamelCase   			=     _in_place_partition(a__		,     a__		,     a__)
														count += _in_place_quick_sort(a__		,     a__		,     p - 1)
														count += _in_place_quick_sort(a__		,     p + 1		,     a__)
							return count







def 		A_(     A						:		Optional[Any]		,     A						:		List[str]		,     A						:		Optional[int]):
							UpperCamelCase   			=     0
							UpperCamelCase   			=     randint(a__		,     a__)
							UpperCamelCase   			=     a[end]
							UpperCamelCase   			=     a[pivot]
							UpperCamelCase   			=     temp
							UpperCamelCase   			=     start - 1
							for index in range(a__		,     a__):
														count += 1
														if a[index] < a[end]:  # check if current val is less than pivot value
																					UpperCamelCase   			=     new_pivot_index + 1
																					UpperCamelCase   			=     a[new_pivot_index]
																					UpperCamelCase   			=     a[index]
																					UpperCamelCase   			=     temp

							UpperCamelCase   			=     a[new_pivot_index + 1]
							UpperCamelCase   			=     a[end]
							UpperCamelCase   			=     temp
							return new_pivot_index + 1, count


lowerCAmelCase					:    Union[str, Any]           = TemporaryFile()
lowerCAmelCase					:    Dict           = 1_00  # 1000 elements are to be sorted


lowerCAmelCase					:    int           = 0, 1  # mean and standard deviation
lowerCAmelCase					:    Tuple           = np.random.normal(mu, sigma, p)
np.save(outfile, X)
print('The array is')
print(X)


outfile.seek(0)  # using the same array
lowerCAmelCase					:    str           = np.load(outfile)
lowerCAmelCase					:    Dict           = len(M) - 1
lowerCAmelCase					:    Dict           = _in_place_quick_sort(M, 0, r)

print(
    'No of Comparisons for 100 elements selected from a standard normal distribution'
    'is :'
)





print(z)







from __future__ import annotations


def 					_UpperCAmelCase				(						a__):

			'''simple docstring'''



			if len(a__) == 0:
						return []
			a_							,					a_						:						List[Any] 							= min(a__), max(a__)
			a_						:						Tuple 							= int(max_value - min_value) + 1
			a_						:						list[list] 							= [[] for _ in range(a__)]

			for i in my_list:
						buckets[int(i - min_value)].append(a__)

			return [v for bucket in buckets for v in sorted(a__)]


if __name__ == "__main__":
	from doctest import testmod

	testmod()
	assert bucket_sort([4, 5, 3, 2, 1]) == [1, 2, 3, 4, 5]
	assert bucket_sort([0, 1, -10, 15, 2, -2]) == [-10, -2, 0, 1, 2, 15]


